{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T22:52:47Z","timestamp":1690843967406},"reference-count":20,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,8,1]],"date-time":"2003-08-01T00:00:00Z","timestamp":1059696000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,8,22]],"date-time":"2013-08-22T00:00:00Z","timestamp":1377129600000},"content-version":"vor","delay-in-days":3674,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Computer and System Sciences"],"published-print":{"date-parts":[[2003,8]]},"DOI":"10.1016\/s0022-0000(03)00049-7","type":"journal-article","created":{"date-parts":[[2003,5,27]],"date-time":"2003-05-27T23:51:31Z","timestamp":1054079491000},"page":"174-182","source":"Crossref","is-referenced-by-count":8,"title":["Remarks on permutive cellular automata"],"prefix":"10.1016","volume":"67","author":[{"given":"J.-P.","family":"Allouche","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Skordev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0022-0000(03)00049-7_BIB1","series-title":"Nonlinear Waves 3, Physics and Astrophysics, Proceedings of Ninth All-Union School on Nonlinear Physics, Gorky\/USSR, 1989, Research Reports in Physics","first-page":"296","article-title":"Cellular automata as dynamical systems","author":"Afra\u0131\u030cmovich","year":"1990"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB2","first-page":"213","article-title":"Notes on cellular automata","volume":"3","author":"Allouche","year":"2001","journal-title":"Cubo Mat. Educacional"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB3","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/0022-0000(85)90048-0","article-title":"Dynamical characteristics of linear cellular automata","volume":"30","author":"Aso","year":"1985","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB4","doi-asserted-by":"crossref","first-page":"332","DOI":"10.2307\/2324899","article-title":"On Devaney's definition of chaos","volume":"99","author":"Banks","year":"1992","journal-title":"Amer. Math. Monthly"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB5","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/S0304-3975(98)00345-4","article-title":"Investigating topological chaos by elementary cellular automata dynamics","volume":"244","author":"Cattaneo","year":"2000","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB6","series-title":"A First Course in Chaotic Dynamical Systems, Theory and Experiment, Studies in Nonlinearity","author":"Devaney","year":"1992"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB7","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1007\/s002240000108","article-title":"Expansivity, permutivity and chaos for cellular automata","volume":"31","author":"Fagnani","year":"1998","journal-title":"Theory Comput. System"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB8","series-title":"Dynamical Systems","first-page":"216","article-title":"Periodic behavior of linear automata","volume":"Vol. 1342","author":"Gilman","year":"1988"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB9","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1007\/BF01691062","article-title":"Endomorphisms and automorphisms of the shift dynamical systems","volume":"3","author":"Hedlund","year":"1969","journal-title":"Math. Systems Theory"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB10","series-title":"General Topology and Homotopy Theory","author":"James","year":"1984"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB11","series-title":"Fundamentals of the Theory of Groups","author":"Kargapolov","year":"1979"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB12","series-title":"Stacs 2000","first-page":"110","article-title":"Linear cellular automata with multiple state variables","volume":"Vol. 1770","author":"Kari","year":"2000"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB13","series-title":"General Topology","author":"Kelley","year":"1975"},{"key":"10.1016\/S0022-0000(03)00049-7_BIB14","doi-asserted-by":"crossref","first-page":"1755","DOI":"10.1090\/S0002-9939-97-03708-8","article-title":"Mixing properties of one-dimensional cellular automata","volume":"125","author":"Kleveland","year":"1997","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB15","first-page":"3","article-title":"Fractal patterns in Gaussian and Stirling number tables","volume":"48","author":"Lange","year":"1998","journal-title":"Ars Combin."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB16","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/S0022-0000(72)80009-6","article-title":"Tessellation with local transformations","volume":"6","author":"Richardson","year":"1972","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB17","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0019-3577(93)90040-6","article-title":"Expansiveness, entropy and polynomial growth for groups acting on subshifts by automorphisms","volume":"4","author":"Shereshevsky","year":"1993","journal-title":"Indag. Math."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB18","first-page":"91","article-title":"Bipermutative cellular automata are topologically conjugate to the one-sided Bernoulli shift","volume":"1","author":"Shereshevsky","year":"1992","journal-title":"Random Comput. Dyn."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB19","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1007\/BF02099076","article-title":"On ergodic one-dimensional cellular automata","volume":"136","author":"Shirvani","year":"1991","journal-title":"Comm. Math. Phys."},{"key":"10.1016\/S0022-0000(03)00049-7_BIB20","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1007\/BF01704016","article-title":"On the ergodic theory of cellular automata","volume":"9","author":"Willson","year":"1975","journal-title":"Math. Systems Theory"}],"container-title":["Journal of Computer and System Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022000003000497?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022000003000497?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T06:54:06Z","timestamp":1553151246000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0022000003000497"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,8]]}},"alternative-id":["S0022000003000497"],"URL":"https:\/\/doi.org\/10.1016\/s0022-0000(03)00049-7","relation":{},"ISSN":["0022-0000"],"issn-type":[{"value":"0022-0000","type":"print"}],"subject":[],"published":{"date-parts":[[2003,8]]}}}